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Finding the Fourth Proportional to 200,279.44, 300,488.46 and 116,112.76

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Solution

The fourth proportional to 200,279.44, 300,488.46 and 116,112.76 is: 174,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,279.44 : 300,488.46 = 116,112.76 : x
  2. Step 2: Convert to fraction form
    200,279.44/300,488.46 = 116,112.76/x
  3. Step 3: Cross multiply
    200,279.44x = 300,488.46 × 116,112.76
  4. Step 4: Simplify right side
    200,279.44x = 34,890,544,438.75
  5. Step 5: Solve for x
    x = 34,890,544,438.75/200,279.44
  6. Step 6: Final answer
    x = 174,209.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.